72936100 has 36 divisors (see below), whose sum is σ = 159545344. Its totient is φ = 28939680.

The previous prime is 72936091. The next prime is 72936107. The reversal of 72936100 is 163927.

It is not an unprimeable number, because it can be changed into a prime (72936107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9829 + ... + 15571.

Almost surely, 2^72936100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72936100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79772672).

72936100 is an abundant number, since it is smaller than the sum of its proper divisors (86609244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72936100 is a wasteful number, since it uses less digits than its factorization.

72936100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 72936100 is about 8540.2634619782. The cubic root of 72936100 is about 417.8119389370.

It can be divided in two parts, 729 and 36100, that multiplied together give a square (26316900 = 5130²).

The spelling of 72936100 in words is "seventy-two million, nine hundred thirty-six thousand, one hundred".